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Finding the Third Proportional to 102,364 and 220,276

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Solution

The third proportional to 102,364 and 220,276 is: 474,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364 : 220,276 = 220,276 : x
  2. Step 2: Convert to fraction form
    102,364/220,276 = 220,276/x
  3. Step 3: Cross multiply
    102,364x = 220,276 × 220,276
  4. Step 4: Simplify right side
    102,364x = 48,521,516,176
  5. Step 5: Solve for x
    x = 48,521,516,176/102,364
  6. Step 6: Final answer
    x = 474,009.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.